Answer:
The answer to your question is Vertex = (-6 , 4)
Step-by-step explanation:
Data
Equation y = -x² - 12x - 32
Process
1.- Add 32 units in both sides
y + 32 = -x² - 12x - 32 + 32
2.- Simplify
y + 32 = -x² - 12x
3.- Factor -1 in the right side
y + 32 = -(x² + 12x )
4.- Complete the perfect square trinomial
y + 32 - 6² = -(x² + 12x + 6²)
5.- Simplify
y + 32 - 36 = -(x + 6)²
y - 4 = -(x + 6)²
6.- Find the vertex
Vertex = (-6 , 4)
<u>Not sure what you are asking for, but,</u>
<u>Here is an example of a JRU (Join Result Unknown) word problem</u>:
There were _____ kids on the playground. ____ more kids came onto the playground. How many kids are on the playground?
<u>Here is an example of a JCU (Join Change Unknown) word problem:</u>
There were ____ kids on the playground. Some more kids came on the playground. Now there are ____ kids on the playground. How many kids came on the playground?
<u>
Here is an example of a JSU (Join Start Unknown) word problem:</u>
Some kids were on the playground. ____ kids came on the playground. Now there are ____ kids on the playground. How many kids were on the playground at the beginning?
Answer:
$95-$5m
Step-by-step explanation:
after m months the has to pay $5m
so then you just need to subtract 5m from $95
Step-by-step explanation:
The Answer is in the photo
This breaks into two inequalities:
2x - 3 > 6
and
-2x + 3 > 6
------------------------
2x - 3 > 6
Add 3 to both sides:
2x > 9
Divide 2 to both sides:
x > 4.5
-----------------------
-2x + 3 > 6
Subtract 3 to both sides:
-2x > 3
Divide -2 to both sides:
x < -1.5
